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Finding the Third Proportional to 472,916 and 1,007,176

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Solution

The third proportional to 472,916 and 1,007,176 is: 2,144,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,916 : 1,007,176 = 1,007,176 : x
  2. Step 2: Convert to fraction form
    472,916/1,007,176 = 1,007,176/x
  3. Step 3: Cross multiply
    472,916x = 1,007,176 × 1,007,176
  4. Step 4: Simplify right side
    472,916x = 1,014,403,494,976
  5. Step 5: Solve for x
    x = 1,014,403,494,976/472,916
  6. Step 6: Final answer
    x = 2,144,997.20

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.